Inverse problems with nonnegative and sparse solutions : algorithms and application to the phase retrieval problem

• Main Authors: Muoi, Pham Quy, Hào, Dinh Nho, Sahoo, Sujit Kumar, Tang, Dongliang, Cong, Nguyen Huu, Dang, Cuong
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2019
• Subjects: Gradient-type Algorithm; Inverse Problems; DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/106501; http://hdl.handle.net/10220/47954; http://dx.doi.org/10.1088/1361-6420/aab6c9
• Institution: Nanyang Technological University

In this paper, we study a gradient-type method and a semismooth Newton method for minimization problems in regularizing inverse problems with nonnegative and sparse solutions. We propose a special penalty functional forcing the minimizers of regularized minimization problems to be nonnegative and sp...